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Finding the Third Proportional to 37,336 and 56,784

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Solution

The third proportional to 37,336 and 56,784 is: 86,362.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,336 : 56,784 = 56,784 : x
  2. Step 2: Convert to fraction form
    37,336/56,784 = 56,784/x
  3. Step 3: Cross multiply
    37,336x = 56,784 × 56,784
  4. Step 4: Simplify right side
    37,336x = 3,224,422,656
  5. Step 5: Solve for x
    x = 3,224,422,656/37,336
  6. Step 6: Final answer
    x = 86,362.30

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.